Human Adding Machine - Revision history

Michael Murtaugh: Redirected page to Human Computation: Adding Machine

2018-09-19T08:02:42Z

Redirected page to Human Computation: Adding Machine

← Older revision		Revision as of 10:02, 19 September 2018
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	[[~~Image:HumanAddingMachineComputers.png]] [[Image:HumanAddingMachineInputs.png]]~~		#REDIRECT [[Human Computation: Adding Machine]]

	~~A procedure to be performed by 6 people (plus, optionally 1 encoder and 1 clock).~~

	~~[[media~~:~~HumanAddingMachine.pdf]]~~

	Implements a 4-bit adder, capable of adding a series of numbers (from 0 - 15). The final result may be as large as 31 (as long as no intermediate sum totals more than 15 due to the 4-bit limitation of the input / latch).

	~~= Rules for performing an "Human~~ Adding Machine~~" =~~
	~~(for 6 people)~~

	~~== Input ==~~

	~~To be performed by the Operator. (If no operator is present, the role can be performed by one of the computers).~~

	~~The input number is written on a card.~~

	If the number is 8 or larger: subtract 8 from the number and write the new number (crossing out the old) and ask Input 1 to raise their right hand. If the (new) number is 4 or larger: subtract 4 from the number and write the new number (crossing out the old) and ask Input 1 to raise their left hand.

	If the (new) number is 2 or larger: subtract 2 from the number and write the new number (crossing out the old) and ask Input 2 to raise their right hand. If the remaining number is 1: ask Input 2 to raise their left hand.

	~~NB: Input can also be performed by having the operator stand behind the inputs and then tap the respective shoulder of the input to indicate that a hand should be raised.~~

	~~== Computation ==~~

	~~You will observe one side (hand and foot) of the "encoder" seated in front of you and the left (near) hand of the person seated to your right (when present).~~

	Raise your right hand (output bit) if you observe an odd number (1 or 3) of signals (raised hand or extended foot). Raise your left hand (carry bit) if you observe 2 or 3 signals. A quick way to summarize the rules: right if odd, left if many.

	~~{\| class=border~~
	~~\|width="25%"\|Computer 1 <br/>("Most significant bit")~~
	~~\|You observe the left side (the right hand and foot) of Encoder 1 (seated in front of you) and the left hand of Computer 2 (seated to your right).~~
	\|-
	~~\|Computer 2~~
	~~\|You observe the right side (the left hand and foot) of Encoder 1 (seated in front of you) and the left hand of Computer 3 (seated to your right).~~
	\|-
	~~\|Computer 3~~
	~~\|You observe the left side (the right hand and foot) of Encoder 2 (seated in front of you) and the left hand of Computer 4 (seated to your right).~~
	\|-
	~~\|Computer 4 <br/>("Least significant bit")~~
	~~\|You observe the right side (the left hand and foot) of Encoder 2 (seated in front of you). You only observe a maximum of 2 signals.~~
	\|}

	~~At this point, the current result of the addition may be observed based on the hands of the computers ([[#Decoding~~]]~~). If an additional number should be added, proceed to the [[#Latch]].~~

	~~== Latch ==~~

	~~Rules for the Latch, performed by the Inputs:~~

	Raise or lower your feet to mirror the right hands of the two "computers" seated in front of you (left foot for left computer, right foot for right computer, extend your foot if the hand is raised, lower your foot if not).

	~~At this point all hands may be lowered, and a new number added via [[#Input]]~~

	~~== Decoding ==~~

	~~Add the scores according to the following:~~
	~~{\| class=border~~
	~~\|Computer 1's left hand:~~
	~~\|16 points~~
	\|-
	~~\|Computer 1's right hand:~~
	~~\|8 points~~
	\|-
	~~\|Computer 2's right hand:~~
	~~\| 4 points~~
	\|-
	~~\|Computer 3's right hand:~~
	~~\| 2 points~~
	\|-
	~~\|Computer 4's right hand:~~
	~~\| 1 point~~
	\|}

Michael Murtaugh at 14:57, 8 October 2008

2008-10-08T14:57:04Z

← Older revision		Revision as of 16:57, 8 October 2008
Line 3:		Line 3:
	A procedure to be performed by 6 people (plus, optionally 1 encoder and 1 clock).		A procedure to be performed by 6 people (plus, optionally 1 encoder and 1 clock).

	[[~~Image~~:HumanAddingMachine.pdf]]		[[media:HumanAddingMachine.pdf]]

	Implements a 4-bit adder, capable of adding a series of numbers (from 0 - 15). The final result may be as large as 31 (as long as no intermediate sum totals more than 15 due to the 4-bit limitation of the input / latch).		Implements a 4-bit adder, capable of adding a series of numbers (from 0 - 15). The final result may be as large as 31 (as long as no intermediate sum totals more than 15 due to the 4-bit limitation of the input / latch).

Michael Murtaugh: /* Computation */

2008-10-08T14:52:47Z

Computation

← Older revision		Revision as of 16:52, 8 October 2008
Line 29:		Line 29:

	{\| class=border		{\| class=border
	\|width="33%"\|Computer 1 <br/>("Most significant bit")		\|width="25%"\|Computer 1 <br/>("Most significant bit")
	\|You observe the left side (the right hand and foot) of Encoder 1 (seated in front of you) and the left hand of Computer 2 (seated to your right).		\|You observe the left side (the right hand and foot) of Encoder 1 (seated in front of you) and the left hand of Computer 2 (seated to your right).
	\|-		\|-

Michael Murtaugh: /* Computation */

2008-10-08T14:52:36Z

Computation

← Older revision		Revision as of 16:52, 8 October 2008
Line 29:		Line 29:

	{\| class=border		{\| class=border
	\|Computer 1 <br/>("Most significant bit")		\|width="33%"\|Computer 1 <br/>("Most significant bit")
	\|You observe the left side (the right hand and foot) of Encoder 1 (seated in front of you) and the left hand of Computer 2 (seated to your right).		\|You observe the left side (the right hand and foot) of Encoder 1 (seated in front of you) and the left hand of Computer 2 (seated to your right).
	\|-		\|-

Michael Murtaugh: /* Computation */

2008-10-08T14:50:05Z

Computation

← Older revision		Revision as of 16:50, 8 October 2008
Line 29:		Line 29:

	{\| class=border		{\| class=border
	\|Computer 1 ("Most significant bit")		\|Computer 1 <br/>("Most significant bit")
	\|You observe the left side (the right hand and foot) of Encoder 1 (seated in front of you) and the left hand of Computer 2 (seated to your right).		\|You observe the left side (the right hand and foot) of Encoder 1 (seated in front of you) and the left hand of Computer 2 (seated to your right).
	\|-		\|-
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	\|You observe the left side (the right hand and foot) of Encoder 2 (seated in front of you) and the left hand of Computer 4 (seated to your right).		\|You observe the left side (the right hand and foot) of Encoder 2 (seated in front of you) and the left hand of Computer 4 (seated to your right).
	\|-		\|-
	\|Computer 4 ("Least significant bit")		\|Computer 4 <br/>("Least significant bit")
	\|You observe the right side (the left hand and foot) of Encoder 2 (seated in front of you). You only observe a maximum of 2 signals.		\|You observe the right side (the left hand and foot) of Encoder 2 (seated in front of you). You only observe a maximum of 2 signals.
	\|}		\|}

Michael Murtaugh: /* Decoding */

2008-10-08T14:49:05Z

Decoding

← Older revision		Revision as of 16:49, 8 October 2008
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	Add the scores according to the following:		Add the scores according to the following:
	{\| border~~=1 cellpadding=6~~		{\| class=border
	\|Computer 1's left hand:		\|Computer 1's left hand:
	\|16 points		\|16 points

Michael Murtaugh: /* Computation */

2008-10-08T14:48:49Z

Computation

← Older revision		Revision as of 16:48, 8 October 2008
Line 28:		Line 28:
	Raise your right hand (output bit) if you observe an odd number (1 or 3) of signals (raised hand or extended foot). Raise your left hand (carry bit) if you observe 2 or 3 signals. A quick way to summarize the rules: right if odd, left if many.		Raise your right hand (output bit) if you observe an odd number (1 or 3) of signals (raised hand or extended foot). Raise your left hand (carry bit) if you observe 2 or 3 signals. A quick way to summarize the rules: right if odd, left if many.

	{\| border=1		{\| class=border
	\|Computer 1 ("Most significant bit")		\|Computer 1 ("Most significant bit")
	\|You observe the left side (the right hand and foot) of Encoder 1 (seated in front of you) and the left hand of Computer 2 (seated to your right).		\|You observe the left side (the right hand and foot) of Encoder 1 (seated in front of you) and the left hand of Computer 2 (seated to your right).

Michael Murtaugh: /* Computation */

2008-10-08T14:47:18Z

Computation

← Older revision		Revision as of 16:47, 8 October 2008
Line 28:		Line 28:
	Raise your right hand (output bit) if you observe an odd number (1 or 3) of signals (raised hand or extended foot). Raise your left hand (carry bit) if you observe 2 or 3 signals. A quick way to summarize the rules: right if odd, left if many.		Raise your right hand (output bit) if you observe an odd number (1 or 3) of signals (raised hand or extended foot). Raise your left hand (carry bit) if you observe 2 or 3 signals. A quick way to summarize the rules: right if odd, left if many.

	{\| border=1 ~~style=border: 1px solid gray~~		{\| border=1
	\|Computer 1 ("Most significant bit")		\|Computer 1 ("Most significant bit")
	\|You observe the left side (the right hand and foot) of Encoder 1 (seated in front of you) and the left hand of Computer 2 (seated to your right).		\|You observe the left side (the right hand and foot) of Encoder 1 (seated in front of you) and the left hand of Computer 2 (seated to your right).

Michael Murtaugh: /* Computation */

2008-10-08T14:46:58Z

Computation

← Older revision		Revision as of 16:46, 8 October 2008
Line 28:		Line 28:
	Raise your right hand (output bit) if you observe an odd number (1 or 3) of signals (raised hand or extended foot). Raise your left hand (carry bit) if you observe 2 or 3 signals. A quick way to summarize the rules: right if odd, left if many.		Raise your right hand (output bit) if you observe an odd number (1 or 3) of signals (raised hand or extended foot). Raise your left hand (carry bit) if you observe 2 or 3 signals. A quick way to summarize the rules: right if odd, left if many.

	{\| ~~cellpadding~~=6		{\| border=1 style=border: 1px solid gray
	\|Computer 1 ("Most significant bit")		\|Computer 1 ("Most significant bit")
	\|You observe the left side (the right hand and foot) of Encoder 1 (seated in front of you) and the left hand of Computer 2 (seated to your right).		\|You observe the left side (the right hand and foot) of Encoder 1 (seated in front of you) and the left hand of Computer 2 (seated to your right).

Michael Murtaugh: /* Computation */

2008-10-08T14:45:39Z

Computation

← Older revision		Revision as of 16:45, 8 October 2008
Line 28:		Line 28:
	Raise your right hand (output bit) if you observe an odd number (1 or 3) of signals (raised hand or extended foot). Raise your left hand (carry bit) if you observe 2 or 3 signals. A quick way to summarize the rules: right if odd, left if many.		Raise your right hand (output bit) if you observe an odd number (1 or 3) of signals (raised hand or extended foot). Raise your left hand (carry bit) if you observe 2 or 3 signals. A quick way to summarize the rules: right if odd, left if many.

	Computer 1 ("Most significant bit")		{\| cellpadding=6
	You observe the left side (the right hand and foot) of Encoder 1 (seated in front of you) and the left hand of Computer 2 (seated to your right).		\|Computer 1 ("Most significant bit")
			\|You observe the left side (the right hand and foot) of Encoder 1 (seated in front of you) and the left hand of Computer 2 (seated to your right).
	Computer 2		\|-
	You observe the right side (the left hand and foot) of Encoder 1 (seated in front of you) and the left hand of Computer 3 (seated to your right).		\|Computer 2
			\|You observe the right side (the left hand and foot) of Encoder 1 (seated in front of you) and the left hand of Computer 3 (seated to your right).
	Computer 3		\|-
	You observe the left side (the right hand and foot) of Encoder 2 (seated in front of you) and the left hand of Computer 4 (seated to your right).		\|Computer 3
			\|You observe the left side (the right hand and foot) of Encoder 2 (seated in front of you) and the left hand of Computer 4 (seated to your right).
	Computer 4 ("Least significant bit")		\|-
	You observe the right side (the left hand and foot) of Encoder 2 (seated in front of you). You only observe a maximum of 2 signals.		\|Computer 4 ("Least significant bit")
			\|You observe the right side (the left hand and foot) of Encoder 2 (seated in front of you). You only observe a maximum of 2 signals.
			\|}

	At this point, the current result of the addition may be observed based on the hands of the computers ([[#Decoding]]). If an additional number should be added, proceed to the [[#Latch]].		At this point, the current result of the addition may be observed based on the hands of the computers ([[#Decoding]]). If an additional number should be added, proceed to the [[#Latch]].