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# 13 Adders, 7-Segment Display - ECE 110 M-C Brunet Logic...

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ECE 110 M.-C. Brunet Adders, and 7-segment Display Handout 13 Logic Gates Given or Known: G Inputs Output Logic Blocks Truth Table g (Label) Inputs Outputs Given or Known : A description of its functioning . The labels inside are explicit enough to produce a nction table (summary of the device functioning) function table (summary of the device functioning) M.-C. BRUNET ECE 110 UIUC 13.1 A Combinational Circuit A B C D E F G H I J F Number of levels? It is the maximum number of gates encountered on all paths from inputs to output. M.-C. BRUNET ECE 110 UIUC 13.2

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ECE 110 M.-C. Brunet Adders, and 7-segment Display Handout 13 A First Useful Circuit: for adding numbers Recall the notation for binary numbers: A = (a n-1 ……a 1 a 0 ) 2 a i is a b inary dig it (or ‘ BIT ’) = 0 or 1 he cimal lue for A is: ( ) 0 The decimal value for A is: ( 10 a n-1 x 2 n-1 + . . . + a 1 x 2 1 + a 0 x 2 0 Example 1: (1 0) 2 = ( ) 10 Knowing your powers of 2 is useful…… (1 1) 2 = ( ) 10 (1 1 0 1) 2 = xample 2: ) (1) ()() Example 2: (1) + (1) = ( ) 10 = ( ) 2 (0)+ (1) = ( ) 10 = ( ) 2 (0)+ (0) = ( ) 10 = ( ) 2 M.-C. BRUNET ECE 110 UIUC 13.3 (1)+ (1) + (1) = ( ) 10 = ( ) 2
ECE 110 M.-C. Brunet Adders, and 7-segment Display Handout 13 Parallel Adder: adding two n-bit numbers A = (a n-1 ……a 1 a 0 ) 2 and B = (b n-1 ……b 1 b 0 ) 2 a n-1 b n-1 . . . . . . a 1 b 1 a 0 b 0 carry Parallel Adder Their sum is Sum(A,B) = S = (S n-1

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13 Adders, 7-Segment Display - ECE 110 M-C Brunet Logic...

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