Create a truth table of the function prime(a, b,c, d) where a, b,c, d are the bits of a 4-bit number. a is the highest significant bit and d is the least significant.

The output is 1 for:

Step-by-step explanation:

The first step is creating the truth table, from the most significant bit to the least significant. Then, each value is converted to decimal, like these two examples:

After the conversion, if the decimal equivalent of the 4-bit number is prime, the output is 1.

So, the output is 1 for 1,2,3,5,7,11,13

So

A - B - C - D - Decimal - Output

0 - 0 - 0 - 0 -       0       -    0

0 - 0 - 0 - 1  -        1       -     1

0 - 0 - 1 - 0 -         2      -     1

0 - 0 - 1 - 1 -          3      -     1

0 - 1 - 0 - 0 -         4      -    0

0 - 1 - 0 - 1 -          5      -     1

0 - 1 - 1 - 0 -          6      -    0

0 - 1 - 1 - 1  -          7      -     1

1 - 0 - 0 - 0 -         8     -      0

1 - 0 - 0 - 1 -          9     -      0

1 - 0 - 1 - 0 -          10    -      0

1 - 0 - 1 - 1  -          11     -      1

1 - 1 - 0 - 0 -          12    -      0

1 - 1 - 0 - 1 -           13    -       1

1 - 1 - 1 - 0 -           14   -        0

1 - 1 - 1 - 1 -            15   -        0

9) i can't see the angle so whatever it is just do this: cos(angle) x hypotenuse and then use that answer and they hypotenuse and plug it into this: (answer you just got)^2 + b^2 = (hypotenuse)^2. the first answer will be the answer of the adjacent side and the second answer after this equation will be the opposite side.

10) y = 14 x = √147 or 12.12435565

11) x = 4.8

12) x = 4.2

13) x = 9.3

14) pq: 13.2

qr : 17.6

angle p: 53º

15) angle c: 54.3º

angle a: 35.7º

16) h = 21040

v = 1841

step-by-step explanation:

10) 7/sin(30) = 14 = y

7^2 + b^2 = 14^2

49 + b^2 = 196

b^2 = 196 - 49

√b^2 = √147

x = √147

11) cos(70) x 14 = 4.788282007

x = 4.8

12) tan(25) x 9 = 4.196768923

x = 4.2

13) sin(31) x 18 = 9.270685348

x = 9.3

14) pq: sin(37) x 22 = 13.23993051

pq: 13.2

qr: cos(37) x 22 = 17.56998122

qr : 17.6

angle p: 180 - (37 + 90) = 53º

15) cos-1(7/12) = 54.31466529

angle c: 54.3º

angle a: 180 - (90 + 54.31466529) = 35.68533471

angle a: 35.7º

16) 4 x 5280 = 21120

cos(5) x 21120

h = 21039.63202

h = 21040

sin(5) x 21120

v = 1840.729287

v = 1841

step-by-step explanation: