Create a truth table according to these specifications There

Create a truth table according to these specifications: There are 4 input bits, x3, x2, x1, x0, and 3 output bits, s2, s1, s0. The 3-bit output is the largest number of consecutive 1\'s in the 4 input bits. (x3 is the most significant bit of the input, and s2 is the most significant bit of the output.) For example, input 0000 gives output 000 (no 1\'s), inputs 0001 and 0101 give output 001, inputs 0011 and 0110 give output 010, input 1110 gives output 011, etc. Show all 16 rows of the table clearly. (You can write this out neatly m plain text; don\'t worry about using tables in a word processor.)

Solution

x3 x2 x1 x0 s2 s1 s0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 0 0 0 1 0 0 1 1 0 1 0 0 1 0 0 0 0 1 0 1 0 1 0 0 1 0 1 1 0 0 1 0 0 1 1 1 0 1 1 1 0 0 0 0 0 1 1 0 0 1 0 0 1 1 0 1 0 0 0 1 1 0 1 1 0 1 0 1 1 0 0 0 1 0 1 1 0 1 0 1 0 1 1 1 0 0 1 1 1 1 1 1 1 0 0