Left-shifter. In the style of the right-shifter description in the previous exercise, give boolean formulas for the value of the outputs z0 z1 z2 z3 in a left-shifter, in terms of x0 x1 x2 x3 (input values) and t0 t1 t2 t3 (left-shift select). Then show how to add gates “below the diagonal” in the right-shifter to build a circuit that can shift in either direction. Assume that at most one of the eight control lines s0 s1 s2 s3 and t0 t1 t2 t3 is 1.

Left-shifter. In the style of the right-shifter description in the previous exercise, give boolean formulas for the value of the outputs z 0 z 1 z 2 z 3 in a left-shifter, in terms of x 0 x 1 x 2 x 3...

Left-shifter. In the style of the right-shifter description in the previous exercise, give boolean formulas for the value of the outputs z₀
z₁
z₂
z₃
in a left-shifter, in terms of x₀
x₁
x₂
x₃
(input values) and t0 t₁
t₂
t₃
(left-shift select). Then show how to add gates “below the diagonal” in the right-shifter to build a circuit that can shift in either direction. Assume that at most one of the eight control lines s₀
s₁
s₂
s₃
and t0 t₁
t₂
t₃
is 1.

Dec 11, 2021

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Left-shifter. In the style of the right-shifter description in the previous exercise, give boolean formulas for the value of the outputs z 0 z 1 z 2 z 3 in a left-shifter, in terms of x 0 x 1 x 2 x 3...

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